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Finding the Third Proportional to 2,015,007 and 4,257,443

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Solution

The third proportional to 2,015,007 and 4,257,443 is: 8,995,413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015,007 : 4,257,443 = 4,257,443 : x
  2. Step 2: Convert to fraction form
    2,015,007/4,257,443 = 4,257,443/x
  3. Step 3: Cross multiply
    2,015,007x = 4,257,443 × 4,257,443
  4. Step 4: Simplify right side
    2,015,007x = 18,125,820,898,249
  5. Step 5: Solve for x
    x = 18,125,820,898,249/2,015,007
  6. Step 6: Final answer
    x = 8,995,413.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.